Hi Steve,
Your essay questions the most fundamental foundation of physics. Forcing phenomena to be local by fiat or axiom or just plain unconsciousness, should be reconsidered.
I did have some trouble with the concept of "properties at a point".....what properties?
The following caught my attention" "it has proven difficult to construct a testable and sensible quantum theory of gravity, suggesting that the relation between gravitation and quantum phenomena might be di§erent from anything heretofore explored."
I did not write my essay to probe the classical-quantum link, but it turned out that way. The classical limit as to "mass increase with velocity" is nicely explained via unexpected limits imposed by quantum phenomena. Take a look at: http://www.fqxi.org/community/forum/topic/1403 ..........I believe it relates to your point above.
Thanks for your essay,
Don L.